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From Kook Science

Atomic model of fivefold icosahedral-Al-Pd-Mn quasicrystal surface.

Quasiperiodic crystal (quasicrystal) is crystalline structure that is ordered but aperiodic, having no translational symmetry — which is to say, non-repeating patterns. Such structure had been described mathematically, including by Roger Penrose, prior to being discovered in nature by Daniel Shechtman. [1]